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Finding the Third Proportional to 2,066,013 and 4,497,966

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Solution

The third proportional to 2,066,013 and 4,497,966 is: 9,792,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,013 : 4,497,966 = 4,497,966 : x
  2. Step 2: Convert to fraction form
    2,066,013/4,497,966 = 4,497,966/x
  3. Step 3: Cross multiply
    2,066,013x = 4,497,966 × 4,497,966
  4. Step 4: Simplify right side
    2,066,013x = 20,231,698,137,156
  5. Step 5: Solve for x
    x = 20,231,698,137,156/2,066,013
  6. Step 6: Final answer
    x = 9,792,628.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.